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On the Invertibility of Some Elliptic Operators on Manifolds with Boundary and Cylindrical Ends

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Topics in Mathematical Analysis and Applications

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 94))

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Abstract

In this paper we perform several steps towards the layer potential theory for the Brinkman system on manifolds with boundary and cylindrical ends. In addition, we refer to the Dirichlet problem for a Laplace type operator on parallelizable manifolds with cylindrical ends.

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Notes

  1. 1.

    See Eq. (8).

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Acknowledgements

This work was supported by a grant of the Romanian National Authority for Scientific Research, CNCS—UEFISCDI, project number PN-II-ID-PCE-2011-3-0994.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 1 M. Kogălniceanu Street, 400084, Cluj-Napoca, Romania

    Mirela Kohr & Cornel Pintea

Authors
  1. Mirela Kohr
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  2. Cornel Pintea
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Correspondence to Cornel Pintea .

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Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

  2. Department of Mathematics, University of Pécs, Pécs, Hungary

    László Tóth

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Kohr, M., Pintea, C. (2014). On the Invertibility of Some Elliptic Operators on Manifolds with Boundary and Cylindrical Ends. In: Rassias, T., Tóth, L. (eds) Topics in Mathematical Analysis and Applications. Springer Optimization and Its Applications, vol 94. Springer, Cham. https://doi.org/10.1007/978-3-319-06554-0_20

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